Pith Number

pith:ZI6II2HZ

pith:2010:ZI6II2HZEIUP2NJVF7YT2SMBRY

not attested not anchored not stored refs pending

Approximations and Lipschitz continuity in p-adic semi-algebraic and subanalytic geometry

Immanuel Halupczok, Raf Cluckers

arxiv:1009.3414 v1 · 2010-09-17 · math.LO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZI6II2HZEIUP2NJVF7YT2SMBRY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:40:08.079300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca3c8468f92228fd35352ff13d49818e351f33deb1ceefd55989719c405cfd73

Aliases

arxiv: 1009.3414 · arxiv_version: 1009.3414v1 · doi: 10.48550/arxiv.1009.3414 · pith_short_12: ZI6II2HZEIUP · pith_short_16: ZI6II2HZEIUP2NJV · pith_short_8: ZI6II2HZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZI6II2HZEIUP2NJVF7YT2SMBRY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ca3c8468f92228fd35352ff13d49818e351f33deb1ceefd55989719c405cfd73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4664f7a495bd4788e69f5e6f3c97cfbe9ae0a6ce328d9ede489629d2cbe4c08b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-09-17T13:21:11Z",
    "title_canon_sha256": "b7be0e74ac5c3b4fe24e241051d8c2b2b22cfaa7a43fdce8ab580d65f5c676e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3414",
    "kind": "arxiv",
    "version": 1
  }
}